Multivariable Calculus Courses and Certifications

Multivariable Calculus

Comprehensive video series covering multivariable calculus topics, from domains and vectors to triple integrals and coordinate systems, aligned with an open textbook for active learning.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Calculus III - Multivariable Calculus - Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization

Explore multivariable calculus through geometric and conceptual understanding. Master vectors, curves, partial derivatives, multiple integrals, and optimization techniques for advanced mathematical applications.

• YouTube
• 5 hours
• On-Demand
• Free Video

Jonathan Walters

Stewart Calculus - Multivariable Functions

Explore partial derivatives, linear approximation, chain rule, directional derivatives, and optimization in multivariable calculus through visualizations and practical examples.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Multivariable Calculus

Continue your calculus journey into the realm of multiple variables, exploring everything from vectors to volume.

• Brilliant
• 50-60 hours
• On-Demand
• Paid Course

Multivariable Calculus - Surface Integrals

Explore advanced calculus concepts including parameterized surfaces, surface integrals, Stoke's Theorem, and the Divergence Theorem through comprehensive examples and in-depth explanations.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Finding Tangent Planes and Normal Lines to Surfaces

Learn to find tangent planes and normal lines to surfaces in multivariable calculus, using gradient functions to analyze complex three-dimensional geometries.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Finding Differentials of Multivariable Functions

Explore differentials of multivariable functions, from basic concepts to advanced applications in word problems. Gain a deeper understanding of calculus principles and their real-world relevance.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - The Chain Rule for Multivariable Functions

Explore the Chain Rule for multivariable functions, focusing on derivatives involving parametrics and compositions. Derive the rule and practice with examples.

• YouTube
• 2 hours 12 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Partial Derivatives - Derivatives of Multivariable Functions

Explore partial derivatives in multivariable calculus, including tangent line slopes, implicit differentiation, and higher-order derivatives. Gain a deep understanding through numerous examples.

• YouTube
• 2 hours 29 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 3 - Limits and Continuity of Multivariable Functions

Explore limits and continuity of multivariable functions, including the Squeeze Theorem. Learn techniques to determine limit existence and regions of continuity in this comprehensive lecture.

• YouTube
• 2 hours 15 minutes
• On-Demand
• Free Video

Professor Leonard

Intro to Multivariable Functions - Domain, Sketching, Level Curves

Explore multivariable functions, focusing on domain analysis, function sketching, and level curves. Gain practical skills in visualizing and interpreting complex mathematical concepts.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Krista King

Precise Definition of the Limit for Multivariable Functions

Explore the epsilon-delta definition of limits for multivariable functions, gaining a precise understanding of this advanced calculus concept with clear explanations and examples.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - When the Divergence Theorem Doesn't Apply

Explore surface integrals over special vector fields, including cases where the divergence theorem fails, in this advanced multivariable calculus analysis.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - Verifying the Divergence Theorem

Explore a practical example of the divergence theorem in multivariable calculus, enhancing understanding through step-by-step verification and clear explanations.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Michael Penn

Multivariable Calculus - Stoke's Theorem

Explore Stoke's Theorem in multivariable calculus, including its description and a proof outline, enhancing understanding of vector calculus and its applications in physics and engineering.

• YouTube
• 21 minutes
• On-Demand
• Free Video